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Fermionic SPT phases in higher dimensions and bosonization

Kapustin, Anton and Thorngren, Ryan (2017) Fermionic SPT phases in higher dimensions and bosonization. Journal of High Energy Physics, 2017 (10). Art. No. 080. ISSN 1126-6708. doi:10.1007/JHEP10(2017)080.

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We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the most general such phase can be obtained from a bosonic “shadow” by condensing both fermionic particles and strings.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Thorngren, Ryan0000-0001-9433-3399
Additional Information:© 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 12, 2017; Accepted: September 28, 2017; Published: October 11, 2017. A. K. would like to thank Greg Brumfiel, John Morgan and Anibal Medina for communicating to him some of their unpublished results. R. T. would like to thank Dominic Williamson, Dave Aasen, and Ethan Lake for many enlightening discussions. This paper was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of A. K. was also supported by the Simons Investigator Award. R. T. is supported by an NSF GRFP grant. A. K. and R. T. are grateful to KITP, Santa Barbara, for hospitality during the initial stages of this project.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
NSF Graduate Research FellowshipUNSPECIFIED
Subject Keywords:Anomalies in Field and String Theories; Effective Field Theories; Topological Field Theories; Topological States of Matter
Issue or Number:10
Record Number:CaltechAUTHORS:20170612-103422222
Persistent URL:
Official Citation:Kapustin, A. & Thorngren, R. J. High Energ. Phys. (2017) 2017: 80.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78101
Deposited By: Tony Diaz
Deposited On:12 Jun 2017 18:23
Last Modified:15 Nov 2021 17:36

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